{
  "id": "1402.1989",
  "version": "v2",
  "published": "2014-02-09T20:45:26.000Z",
  "updated": "2015-12-18T19:49:26.000Z",
  "title": "Non-equilibrium stationary states at the fractional quantum Hall edge",
  "authors": [
    "Ivan P. Levkivskyi"
  ],
  "comment": "Revised version, 6 pages, 4 figures (incl. Supplemental materials)",
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.str-el"
  ],
  "abstract": "Integrability of electron dynamics in one dimension is manifested by the non-equilibrium stationary states. They emerge near a point contact coupling two quantum Hall edges with different chemical potentials. I use the non-equilibrium bosonization to show that the effective temperature of such states at the fractional quantum Hall edge has a universal linear dependence on the current through the contact. In contrast, the temperature at eventual equilibrium scales as the square root of the power dissipating at the contact. I propose to use this distinction to detect these intriguing non-equilibrium states.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-02-09T20:45:26.000Z",
      "abstract": "One of the manifestations of the integrability of electron dynamics in one dimension is the existence of non-equilibrium stationary states. Such states emerge near a quantum point contact coupling two quantum Hall edges with different chemical potentials. We use a non-equilibrium bosonization technique to show that the effective temperature in such states at the fractional quantum Hall edge has a universal linear dependence on the current through the contact. In contrast, the temperature of one-dimensional equilibrium systems scales as the square root of the corresponding dissipating power. This striking difference from the equilibrium behavior can be used to experimentally detect these unique non-equilibrium states.",
      "comment": "4.5 pages, 3 figures",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2015-12-18T19:49:26.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fractional quantum hall edge",
      "non-equilibrium stationary states",
      "one-dimensional equilibrium systems scales",
      "unique non-equilibrium states",
      "quantum point contact"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1402.1989L"
    }
  }
}